Answer:
x=5, y=-10
Step-by-step explanation:
y = x²-10x+15 --- eqn 1
y = -10 --- eqn 2
Sub eqn 2 into eqn 1:
x²-10x+15 = -10
x²-10x+15+10 = 0
x²-10x+25 = 0
(x-5)² = 0
x-5 = 0
x = 5
Answer:
200cm
Step-by-step explanation:
Answer:
6 loads
Step-by-step explanation:
First, you gotta find how many pounds are in 2 1/4 tons. 1 ton is 2000 pounds. 2 tons would be 4000 pounds. 1/4 of a tom would be 2000 divided by 4 which is 500 pounds. 4000 pounds + 500 pounds = 4500 pounds. They put 750 pounds into the truck one at a time. To figure out how many loads of 750 pounds they can put into the truck without exceeding the limit you have to divide. 4500 divided by 750 is 6. They can put 6 loads without exceeding the limit.
Answer:
year 7
Step-by-step explanation:
If we assume that investment A earns interest compounded annually, its value can be modeled by the equation ...
A = 50·(1+0.08)^(t-1) . . . . . where t is the year number
The second investment earns $3 per year, so its value can be modeled by the equation ...
B = 60 + 3(t -1) . . . . . . . . . where t is the year number
We are interested in finding the minimum value of t such that ...
A > B
50·1.08^(t-1) > 60 +3(t-1)
This is a mix of exponential and polynomial terms for which no solution method is available using the tools of Algebra. A graphing calculator shows the solution to be ...
t > 6.552
The value at the end of year 1 is found for t=1, so the values of interest are seen after 6.55 years, in year 7.
Answer:
Step-by-step explanation:
Get the linear equation into the form y = mx + b, where m equals the line's slope and b y-intercept. (x,y) <-- the coordinates.
For example: y=2x+5
Here 2 is the slope and 5 is the y-intercept
If the linear equation is in this form:
4x+y = 5
it can easily be put into y=mx+b form by subtracting 4x both sides
to get:
y=-4x+5
where -4 is the slope and 5 y-intercept.
Hope this helps!